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ki77a [65]
3 years ago
5

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for

opening night totaled $2071.50. The equation , where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
Mathematics
1 answer:
blondinia [14]3 years ago
4 0
168 adult tickets were sold for the school play.
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The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x} ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

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The table:

→  x    :    f(x)

→ -2    :    16

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→   1    :    2

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∵ f(x)=a(b)^{x}

- To find the exponential function substitute the value of x and f(x)

  by some values from the table to find a and b, at first use the

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- Remember that any number to the power of zero equal 1

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∵ b^{0}=1

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ f(x)=4(b)^{x}

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ 2=4(b)^{1}

∴ 2 = 4 b

- Divide both sides by 4

∴ b=\frac{2}{4}=\frac{1}{2}

- Substitute the value of b in the equation

∴ f(x)=4(\frac{1}{2})^{x}

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x}

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

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